{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "eddcabc6-7f76-46c0-99b1-7e4e0c678c85",
   "metadata": {},
   "source": [
    "Chapter 16\n",
    "# 连通图 vs 非连通图\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "578863bd-65c3-42fb-bd76-43cf8362d788",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ae4db3ce-da9d-4011-9a1b-44d0d009811d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "False\n",
      "True\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = [0.03, 0.05]\n",
    "\n",
    "fig, axes = plt.subplots(1,2,figsize = (8,4))\n",
    "\n",
    "for ax_i,p_i in zip(axes.flatten(), p):\n",
    "    \n",
    "    G = nx.gnp_random_graph(100, p_i, seed=8)\n",
    "    # 参数n控制图中节点的数量\n",
    "    # 参数p控制节点间连线存在的概率\n",
    "    \n",
    "    # 检查无向图是否连通\n",
    "    print(nx.is_connected(G))\n",
    "    \n",
    "    pos = nx.spring_layout(G, seed = 8)\n",
    "    nx.draw_networkx(G, pos, \n",
    "                     ax = ax_i,\n",
    "                     with_labels = False,\n",
    "                     node_size=20)\n",
    "    # ax_i.axis('off')\n",
    "    \n",
    "plt.savefig('图的连通.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3bd2fd3c-6196-4c56-baf4-9a3f3a66e6af",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
